AI models for WHAT? There are a ton of models out there for all kinds of purposes, and sure, some of them might be trained on open data.

The Open Model Initiative https://openmodel.foundation/ is working towards creating some fully open sourced models, starting with an image generation model, though nothing yet. I don't know the details of what kinds of data they plan to train on, but I imagine that they probably wont be training just on creative commons data, but someone could theoretically do that given that the entire thing is fully open.

There was also an image generation model called CommonCanvas https://huggingface.co/common-canvas which was trained on creative commons data.